On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities

DOI10.3934/dcdss.2008.1.1zbMath1165.35406OpenAlexW1968565045MaRDI QIDQ932375

Robert Nürnberg, Harald Garcke, John W. Barrett

Publication date: 11 July 2008

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2008.1.1

zbMATH Keywords

formally matched asymptotic expansionssharp interface asymptotic limit

Mathematics Subject Classification ID

Variational inequalities (49J40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) PDEs in connection with optics and electromagnetic theory (35Q60) Degenerate parabolic equations (35K65) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (5)

Analyzing Smooth and Singular Domain Perturbations in Level Set Methods ⋮ On bifurcations in lifts of regular uniform coupled cell networks ⋮ Stability Analysis of the Reconstruction Step of the Voronoi Implicit Interface Method ⋮ Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures ⋮ Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques

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